39461

Properties

Appears in sequences

• Smallest prime(k) such that 2^n divides the product of composite numbers between prime(k) and prime(k+1) but 2^(n+1) does not.at n=37A077216
• prime(k) for those k where floor((2*(prime(k+1)-prime(k))*PrimePi(k) mod (8*k))/k) = m with m = 10.at n=35A109564
• Primes p such that q - p = 38, where q is the next prime after p.at n=2A134118
• Primes p1 such that p1^3+p2^2=pp are average of twin primes. p1 and p2 consecutive primes, p1 < p2.at n=23A138735
• Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, 0, 1), (-1, 1, 0), (1, -1, 0), (1, 1, -1), (1, 1, 1)}.at n=8A149801
• Primes of the form 2n^2+14n+5.at n=24A154577
• Primes of the form floor(k*(k+1)*Pi/2), k>=0, where Pi = 3.1415.. = A000796.at n=18A163579
• Primes p such that p+q+1 is the square of a prime, where q is the next prime after p.at n=15A225809
• Lesser of consecutive primes whose sum is of the form k*(k+2), for some integer k.at n=32A242384
• Lexicographically largest increasing sequence of primes for which the continued square root map (see A257574) produces Pi.at n=29A257582
• a(n) is the least prime p=prime(m) such that gcd (prime(m) + 2, prime(m + 1) + 2) = 2*n - 1.at n=9A268879
• Primes p*A007953(p)+1 for p in A338976.at n=46A338977
• Numbers k > 1 such that A354833(k) = k * A354833(k-1).at n=16A355457
• E.g.f. A(x) satisfies A(x) = exp(x * A(x)^3) / (1 - x*A(x)^3).at n=4A380724
• Prime numbersat n=4154